New Zealand
Level 7 - NCEA Level 2

# Recurrence relationships for AP's

## Interactive practice questions

Consider the first-order recurrence relationship defined by $T_n=T_{n-1}+2$Tn=Tn1+2, $T_1=5$T1=5.

a

Determine the next four terms of the sequence, from $T_2$T2 to $T_5$T5.

Write all four terms on the same line, separated by commas.

b

Plot the first five terms on the graph below.

c

Is the sequence generated from this definition arithmetic or geometric?

Arithmetic

A

Geometric

B

Neither

C

Arithmetic

A

Geometric

B

Neither

C
Easy
Approx 3 minutes

Consider the first-order recurrence relationship defined by $T_n=T_{n-1}-2$Tn=Tn12, $T_1=5$T1=5.

Consider the sequence plot drawn below.

Consider the sequence $4,6,8,10,12,\dots$4,6,8,10,12,

### Outcomes

#### M7-3

Use arithmetic and geometric sequences and series

#### 91258

Apply sequences and series in solving problems